Nov. 30 Class

Congratulations on completing the Unit Test!
Here's the next unit:

Sinusoidal Functions

Handouts

• Daily Plan
• Periodic Functions

We started by discussing period functions today.  Those are functions that repeat themselves over and over again.  They describe things from amusement park rides to the changing seasons to sound and even light.

We then looked at various functions and decided if they were periodic or not.  Here are some functions that are periodic:

You can find a regular interval over which the graph repeats. 

If you can find a repeating pattern over a regular interval, then it is periodic.

The red line is the base graph of what we will be sketching this unit. 

The following are NOT periodic:

Not periodic because the intervals are not regular.

Not periodic because the maximum and minimum values change.

Not even a function!

The circle is not a function, but if we were to graph the value of the y coordinate as we move around the circle, we do get a periodic function!  See the GIF below:

How a sine graph can be generated from a circle.

We will learn much more about this graph in the days to come.

Homework: Complete the handout, P. 352  #1–4, 5ab, 6ac, 7–10

Nov. 26 Class

Today we took up the formative quiz that I handed out last week.  Here are the solutions:

Here is an additional example of how to solve quadratic forms of trigonometric equations.

And finally, here is a new handout of word problems to practice on:

Handout: More Word Problems

Homework: Complete handout, P. 338 #1–13

Some solutions

As promised, here are solutions to the Thinking Questions on the Formative Quiz:

And here is the solution to the last question from the 3D questions handout.

Remember, the test is on Wednesday & Thursday.  Happy studying!

Nov. 22 Class

We had an interesting class today!  We started working on 3D trig problems and came across a very challenging one.  When doing 3d questions it is very vital that you read the question carefully and draw a good diagram.  Be sure you define all variables clearly in your diagram, or define them using a sentence.

Handout: 3D Trig Problems

Here are the notes from today including the solution to the challenging question.

I'll post the solution to Example 4 over the next couple of days.

I also handed out a formative quiz for you to take home and try.  We will go over the quiz on Monday.

Homework: Complete handout, complete formative quiz, P. 332 #3–9

Nov. 21 Class

Today I went over some problems from yesterday's homework.
Here are the notes:

Next we talked about Cosine Law and some of the uses.
Here are the notes:

Homework: P. 325 # 3–11

Nov. 20 Class

Today I gave more practice on solving trigonometric equations.  These are more challenging than the ones yesterday.

Handouts:

• Solving More Trigonometric Equations
• Ambiguous Case

Then we discussed how the Sine Law can sometimes give two possible solutions for a given set of information.  This arises because when we do the inverse of Sine, there are more than one possible solution.

Notes on solving:

Notes on ambiguous case:

Homework: Complete handout, P. 318 #4-14

Nov. 19 Class

Today we talked more in depth of how to solve simple trigonometric equations.  Remember, there are multiple solutions when you are solving for angles, therefore, you must use the CAST rule to find which quadrant the solutions are in.

Handout: Solving Trigonometric Equations

Here are the examples I did in class.

Homework: Complete worksheets